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Finding the Fourth Proportional to 9,967.64, 14,948.16 and 3,302.61

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Solution

The fourth proportional to 9,967.64, 14,948.16 and 3,302.61 is: 4,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.64 : 14,948.16 = 3,302.61 : x
  2. Step 2: Convert to fraction form
    9,967.64/14,948.16 = 3,302.61/x
  3. Step 3: Cross multiply
    9,967.64x = 14,948.16 × 3,302.61
  4. Step 4: Simplify right side
    9,967.64x = 49,367,942.70
  5. Step 5: Solve for x
    x = 49,367,942.70/9,967.64
  6. Step 6: Final answer
    x = 4,952.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.